document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1084195>Question 1084195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The present sum of father & son is 50.When son reached at father present age,the sum of father & son age will be 102.Now calculate father & son age? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #698260 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=698260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"4\">f = current age of father<BR>\n" );
document.write( "s = current age of son\r<BR>\n" );
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document.write( "Their current ages add to 50<BR>\n" );
document.write( "f+s = 50<BR>\n" );
document.write( "Call this equation 1.\r<BR>\n" );
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document.write( "t years later, <BR>\n" );
document.write( "(f+t) + (s+t) = 102\r<BR>\n" );
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document.write( "t = difference in father and son's age<BR>\n" );
document.write( "t = f - s\r<BR>\n" );
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document.write( "Plug this in<BR>\n" );
document.write( "(f+t) + (s+t) = 102<BR>\n" );
document.write( "(f+f - s) + (s+f - s) = 102<BR>\n" );
document.write( "3f - s = 102<BR>\n" );
document.write( "Call this equation 2.\r<BR>\n" );
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document.write( "We have the system<BR>\n" );
document.write( "f + s = 50<BR>\n" );
document.write( "3f - s = 102<BR>\n" );
document.write( "which are equation 1 and equation 2 respectively\r<BR>\n" );
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document.write( "Add the equations straight down to get<BR>\n" );
document.write( "f + s = 50<BR>\n" );
document.write( "3f - s = 50<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "4f + 0s = 152\r<BR>\n" );
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document.write( "Since 4f = 152, we know f = 38 after we divide both sides by 4.\r<BR>\n" );
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document.write( "Therefore, s = 50-f = 50-38 = 12\r<BR>\n" );
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document.write( "Summary:<BR>\n" );
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document.write( "The father's current age is 38<BR>\n" );
document.write( "The son's current age is 12<BR>\n" );
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document.write( "Note how the difference in their age is 38-12 = 26<BR>\n" );
document.write( "If 26 years pass by, then<BR>\n" );
document.write( "father's future age = 38+26 = 64<BR>\n" );
document.write( "son's future age = 12+26 = 38<BR>\n" );
document.write( "those future ages add up to 64+38 = 102</font> </SPAN>\n" );
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